%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO611-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:51:33 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.18s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f4,axiom,
! [X0] : eq(f(X0),a0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
tcf(c_54,plain,
! [X0: $i] : le(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i] : eq(f(X0),a0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a0)
| ~ eq(f(X0),a0)
| ~ le(s(X0),X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a0)
| ~ le(s(X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_57,c_58]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : ~ le(s(X0),X1),
inference(backward_subsumption_resolution,[status(thm)],[c_62,c_57]) ).
tcf(c_92,plain,
! [X0: $i] : ~ le(s(X0),s(X0)),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_93,plain,
! [X0: $i] : le(s(X0),s(X0)),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_95,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_93,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO611-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 03:15:50 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 0.20/1.18 % SZS status Started for theBenchmark.p
% 0.20/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/1.18
% 0.20/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.20/1.18
% 0.20/1.18 % ------ iProver source info
% 0.20/1.18
% 0.20/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 0.20/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.20/1.18 % git: non_committed_changes: false
% 0.20/1.18
% 0.20/1.18 % ------ Parsing...% successful
% 0.20/1.18
% 0.20/1.18
% 0.20/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.20/1.18
% 0.20/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.20/1.18
% 0.20/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.20/1.18 % ------ Proving...
% 0.20/1.18 % ------ Problem Properties
% 0.20/1.18
% 0.20/1.18 %
% 0.20/1.18 % clauses 4
% 0.20/1.18 % conjectures 0
% 0.20/1.18 % EPR 1
% 0.20/1.18 % Horn 4
% 0.20/1.18 % unary 2
% 0.20/1.18 % binary 2
% 0.20/1.18 % lits 6
% 0.20/1.18 % lits eq 0
% 0.20/1.18 % fd_pure 0
% 0.20/1.19 % fd_pseudo 0
% 0.20/1.19 % fd_cond 0
% 0.20/1.19 % fd_pseudo_cond 0
% 0.20/1.19 % AC symbols 0
% 0.20/1.19
% 0.20/1.19 % ------ Schedule dynamic 5 is on
% 0.20/1.19
% 0.20/1.19 % ------ no conjectures: strip conj schedule
% 0.20/1.19
% 0.20/1.19 % ------ no equalities: superposition off
% 0.20/1.19
% 0.20/1.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.20/1.19
% 0.20/1.19
% 0.20/1.19 % ------
% 0.20/1.19 % Current options:
% 0.20/1.19 % ------
% 0.20/1.19
% 0.20/1.19
% 0.20/1.19 %
% 0.20/1.19
% 0.20/1.19 % ------ Proving...
% 0.20/1.19 %
% 0.20/1.19
% 0.20/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/1.19
% 0.20/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.20/1.19
% 0.20/1.19
%------------------------------------------------------------------------------